If x² − 5x + 6 = 0, what is the value of x² + 1/x²?

A 37/4

B 13

C 29/4

D Cannot be determined

✓ Correct Answer: Option D

x = 2 or x = 3. For x=2: 4+1/4=17/4. For x=3: 9+1/9=82/9. Different values for different roots, so cannot be uniquely determined.

💡 Why is D) the correct answer?

The correct answer to the question "If x² − 5x + 6 = 0, what is the value of x² + 1/x²?" is Option D: Cannot be determined.

The other options — A) 37/4, B) 13, C) 29/4 — are incorrect for this GMAT Exam Prep question. As explained above: x = 2 or x = 3. For x=2: 4+1/4=17/4. For x=3: 9+1/9=82/9. Different values for different roots, so cannot be uniquely determined.

📚 About This GMAT Exam Prep Practice Question

This 3-level GMAT Exam Prep question from the Quantitative Reasoning topic is part of BrainForge Quiz's free exam preparation library. Each question includes the correct answer and a detailed explanation to help you understand the underlying concept, not just memorize the answer.

How to use this page: Read the question above, consider all four options (A through D), then check the highlighted correct answer and explanation. For active timed practice, start a free GMAT Exam Prep practice test or use flashcards for spaced repetition review.

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If x² − 5x + 6 = 0, what is the value of x² + 1/x²?

✓ Correct Answer: Option D

📚 About This GMAT Exam Prep Practice Question

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